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Modelling on fuzzy control systems

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Abstract

A kind of modelling method for fuzzy control systems is first proposed here, which is called modelling method based on fuzzy inference (MMFI). It should be regarded as the third modelling method that is different from two well-known modelling methods, that is, the first modelling method, mechanism modelling method (MMM), and the second modelling method, system identification modelling method (SIMM). This method can, based on the interpolation mechanism on fuzzy logic system, transfer a group of fuzzy inference rules describing a practice system into a kind of nonlinear differential equation with variable coefficients, called HX equations, so that the mathematical model of the system can be obtained. This means that we solve the difficult problem of how to get a model represented as differential equations on a complicated or fuzzy control system.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, 100875, Beijing, China

    Li Hongxing, Wang Jiayin & Miao Zhihong

Authors
  1. Li Hongxing
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  2. Wang Jiayin
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  3. Miao Zhihong
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Correspondence to Li Hongxing.

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Hongxing, L., Jiayin, W. & Zhihong, M. Modelling on fuzzy control systems. Sci. China Ser. A-Math. 45, 1506–1517 (2002). https://doi.org/10.1360/02ys9162

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  • DOI: https://doi.org/10.1360/02ys9162

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